Szczegóły publikacji
Opis bibliograficzny
Group distance magic and antimagic graphs / S. CICHACZ, D. Froncek, K. Sugeng, Sanming Zhou // Acta Mathematica Sinica. English Series ; ISSN 1439-8516. — 2016 — vol. 32 no. 10, s. 1159–1176. — Bibliogr. s. 1175–1176, Abstr. — Publikacja dostępna online od: 2016-09-15
Autorzy (4)
- AGHCichacz-Przeniosło Sylwia
- Froncek Dalibor
- Sugeng K.
- Zhou Sanming
Słowa kluczowe
Dane bibliometryczne
| ID BaDAP | 101632 |
|---|---|
| Data dodania do BaDAP | 2016-12-08 |
| Tekst źródłowy | URL |
| DOI | 10.1007/s10114-016-4646-9 |
| Rok publikacji | 2016 |
| Typ publikacji | artykuł w czasopiśmie |
| Otwarty dostęp |  |
| Czasopismo/seria | Acta Mathematica Sinica, English Series |
Abstract
Given a graph G with n vertices and an Abelian group A of order n, an A-distance antimagic labelling of G is a bijection from V (G) to A such that the vertices of G have pairwise distinct weights, where the weight of a vertex is the sum (under the operation of A) of the labels assigned to its neighbours. An A-distance magic labelling of G is a bijection from V (G) to A such that the weights of all vertices of G are equal to the same element of A. In this paper we study these new labellings under a general setting with a focus on product graphs. We prove among other things several general results on group antimagic or magic labellings for Cartesian, direct and strong products of graphs. As applications we obtain several families of graphs admitting group distance antimagic or magic labellings with respect to elementary Abelian groups, cyclic groups or direct products of such groups.